6,000,268

2² × 41 × 36587

6,000,268 factors as 2^2 × 41 × 36587. Its 12 positive divisors give a proper-divisor sum of 4,756,604, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 36587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,756,872

Proper Divisor Sum 4,756,604

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6000233 ← → #6000271

Radix Representation

Decimal	6000268
Binary	10110111000111010001100 (23 bits)
Octal	0o26707214
Hexadecimal	0x5B8E8C

Divisor Catalog (12)

1 2 4 41 82 164 36,587 73,174 146,348 1,500,067 3,000,134 6,000,268

Collatz Trajectory (152 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,000,268 3,000,134 1,500,067 4,500,202 2,250,101 6,750,304 3,375,152 1,687,576 843,788 421,894 210,947 632,842 316,421 949,264 474,632 237,316 118,658 59,329 177,988 88,994 44,497 133,492 66,746 33,373 100,120 50,060 25,030 12,515 37,546 18,773 56,320 28,160 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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